English

Dimensional crossover in spin-orbit-coupled semiconductor nanowires with induced superconducting pairing

Superconductivity 2013-03-27 v2 Mesoscale and Nanoscale Physics

Abstract

We show that the topological Majorana modes in nanowires much longer than the superconducting coherence length are adiabatically connected with discrete zero-energy states generically occurring in short nanowires. We demonstrate that these zero-energy crossings can be tuned by an external magnetic field and are protected by the particle-hole symmetry. We study the evolution of the low-energy spectrum and the splitting oscillations as a function of magnetic field, wire length, and chemical potential, manifestly establishing that the low-energy physics of short wires is related to that occurring in long wires. This physics, which represents a hallmark of spinless p-wave superconductivity, can be observed in tunneling conductance measurements.

Keywords

Cite

@article{arxiv.1208.4136,
  title  = {Dimensional crossover in spin-orbit-coupled semiconductor nanowires with induced superconducting pairing},
  author = {Tudor D. Stanescu and Roman M. Lutchyn and S. Das Sarma},
  journal= {arXiv preprint arXiv:1208.4136},
  year   = {2013}
}

Comments

published version, 7 pages, 7 color figures

R2 v1 2026-06-21T21:53:14.153Z